83 citations · 489 across the 11 of their papers we have counts for
Showing 2003 · math-phShow all
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math-ph2003★ 53 cited
Exponential splitting of bound states in a waveguide with a pair of distant windows
D. Borisov, P. Exner
We consider Laplacian in a straight planar strip with Dirichlet boundary which has two Neumann ``windows'' of the same length the centers of which are apart, and study the asy…
math-ph2003★ 53 cited
Leaky quantum graphs: approximations by point interaction Hamiltonians
P. Exner, K. Nemcova
We prove an approximation result showing how operators of the type in , where is a graph, can be modeled in the strong resolvent sense by point-…
math-ph2003★ 80 cited
Topologically non-trivial quantum layers
G. Carron, P. Exner, D. Krejcirik
Given a complete non-compact surface embedded in R^3, we consider the Dirichlet Laplacian in a layer of constant width about the surface. Using an intrinsic approach to the layer g…